volume 219, issue 5, P2766-2779 2012
DOI: 10.1016/j.amc.2012.09.003
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Hee-Dae Kwon, Jeehyun Lee, Sung-Dae Yang

Abstract: We investigate the optimal treatment strategies with an age-structured model of HIV infection. The age-structured model allows for variations in the virion production rate and the death rate of infected T cells as a function of age, which is the length of time since infection. We derive the optimal therapy protocols by formulating and analyzing an optimal control problem and establish the existence of solutions to the optimal control problem. The optimal treatment strategy is obtained by solving the correspond…

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